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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Primary definition





http://functions.wolfram.com/01.02.02.0002.01









  


  








Input Form





z^k == z z \[Ellipsis] z == z z^(k - 1) /; Element[k, Integers] && k > 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["z", "k"], "\[Equal]", RowBox[List["z", "\[Times]", "z", "\[Times]", "\[Ellipsis]", "\[Times]", "z"]], "\[Equal]", RowBox[List["z", " ", SuperscriptBox["z", RowBox[List["k", "-", "1"]]]]]]], "/;", " ", RowBox[List[RowBox[List["k", "\[Element]", " ", "Integers"]], "\[And]", RowBox[List["k", ">", "0"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mi> z </mi> <mi> k </mi> </msup> <mo> &#10869; </mo> <mrow> <mi> z </mi> <mo> &#215; </mo> <mtext> </mtext> <mi> z </mi> <mo> &#215; </mo> <mtext> </mtext> <mo> &#8230; </mo> <mo> &#215; </mo> <mtext> </mtext> <mi> z </mi> </mrow> <mo> &#10869; </mo> <mrow> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mi> k </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> k </mi> <mo> &#8712; </mo> <msup> <semantics> <mi> &#8469; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalN]&quot;, Function[Integers]] </annotation> </semantics> <mo> + </mo> </msup> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <power /> <ci> z </ci> <ci> k </ci> </apply> <apply> <times /> <ci> z </ci> <ci> z </ci> <ci> &#8230; </ci> <ci> z </ci> </apply> <apply> <times /> <ci> z </ci> <apply> <power /> <ci> z </ci> <apply> <plus /> <ci> k </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <in /> <ci> k </ci> <apply> <ci> SuperPlus </ci> <integers /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["z", "k"], "\[Equal]", RowBox[List["z", " ", "z", " ", "\[Ellipsis]", " ", "z"]], "\[Equal]", RowBox[List["z", " ", SuperscriptBox["z", RowBox[List["k", "-", "1"]]]]]]], "/;", RowBox[List[RowBox[List["k", "\[Element]", "Integers"]], "&&", RowBox[List["k", ">", "0"]]]]]]]]


Date Added to functions.wolfram.com (modification date)





2001-10-29